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56531496 = 2337253907
BaseRepresentation
bin1101011110100…
…1101000101000
310221101002122010
43113221220220
5103433001441
65335355520
71254336600
oct327515050
9127332563
1056531496
1129a01a4a
1216b22ba0
13b9342b8
147717c00
154e6a116
hex35e9a28

56531496 has 96 divisors (see below), whose sum is σ = 167689440. Its totient is φ = 15829632.

The previous prime is 56531491. The next prime is 56531537. The reversal of 56531496 is 69413565.

56531496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (97200) is a multiple of the sum of its prime divisors (972).

It is not an unprimeable number, because it can be changed into a prime (56531491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61875 + ... + 62781.

It is an arithmetic number, because the mean of its divisors is an integer number (1746765).

Almost surely, 256531496 is an apocalyptic number.

56531496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56531496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83844720).

56531496 is an abundant number, since it is smaller than the sum of its proper divisors (111157944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56531496 is a wasteful number, since it uses less digits than its factorization.

With its successor (56531497) it forms an eRAP, since the sums of their prime factors are consecutive (983 and 984).

56531496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 972 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 56531496 is about 7518.7429800466. The cubic root of 56531496 is about 383.7928027179.

The spelling of 56531496 in words is "fifty-six million, five hundred thirty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 371 392 424 588 636 742 907 1113 1176 1272 1484 1814 2226 2597 2721 2968 3628 4452 5194 5442 6349 7256 7791 8904 10388 10884 12698 15582 19047 20776 21768 25396 31164 38094 44443 48071 50792 62328 76188 88886 96142 133329 144213 152376 177772 192284 266658 288426 336497 355544 384568 533316 576852 672994 1009491 1066632 1153704 1345988 2018982 2355479 2691976 4037964 4710958 7066437 8075928 9421916 14132874 18843832 28265748 56531496